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Book Title Lectures on the Mordell-Weil Theorem. Authors Jean-Pierre Serre. Editors Martin Brown. Series Title Aspects of Mathematics. DOI https://doi.org/10.1007/978-3-663-10632-6. Publisher Vieweg+Teubner Verlag Wiesbaden.
- Jean-Pierre Serre
29 de jun. de 2013 · Lectures on the Mordell-Weil Theorem. The book is based on a course given by J.-P. Serre at the Collège de France in 1980 and 1981. Basic techniques in Diophantine...
- Jean-P. Serre
- Michel Waldschmidt
- Martin L. Brown
Abstract. Theorem. There are only finitely many number Gelds K (up to isomorphism) of given discriminant d K ( and of given degree n K = [ K: Q ]). Download to read the full chapter text.
- Jean-Pierre Serre
- 1997
Part of the "Aspects of Mathematics" series, this is an updated edition of the papers from the lectures on the Mordell-Weil theorem.
These notes were originally written weekly by Michel Waldschmidt and have been reproduced by Publications Mathematiques de l'Universite de Paris VI, by photocopying the handwritten manuscript....
- Jean Pierre Serre
- Vieweg+Teubner Verlag, 1989
- illustrated
Lectures On The Mordell-Weil Theorem. Contents: Heights - Nomalized heights - The Mordell-Weil theorem - Mordell's conjecture - Local calculation of normalized heights - Siegel's method - Baker's method - Hilbert's irreducibility theorem - Construction of Galois extensions - Construction of elliptic curves of large rank - The large sieve - ...
13 de nov. de 2013 · Description. The book is based on a course given by J.-P. Serre at the Coll ge de France in 1980 and 1981. Basic techniques in Diophantine geometry are covered, such as heights, the Mordell-Weil theorem, Siegel's and Baker's theorems, Hilbert's irreducibility theorem, and the large sieve.
